89752320 has 432 divisors, whose sum is σ = 377485920. Its totient is φ = 20127744.

The previous prime is 89752319. The next prime is 89752339. The reversal of 89752320 is 2325798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693414 + ... + 1693466.

It is an arithmetic number, because the mean of its divisors is an integer number (873810).

Almost surely, 2^89752320 is an apocalyptic number.

89752320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188742960).

89752320 is an abundant number, since it is smaller than the sum of its proper divisors (287733600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89752320 is a wasteful number, since it uses less digits than its factorization.

89752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 89752320 is about 9473.7701048738. The cubic root of 89752320 is about 447.7290027723.

The spelling of 89752320 in words is "eighty-nine million, seven hundred fifty-two thousand, three hundred twenty".